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Finding the Fourth Proportional to 76,187.49, 113,817.91 and 49,314.55

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Solution

The fourth proportional to 76,187.49, 113,817.91 and 49,314.55 is: 73,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,187.49 : 113,817.91 = 49,314.55 : x
  2. Step 2: Convert to fraction form
    76,187.49/113,817.91 = 49,314.55/x
  3. Step 3: Cross multiply
    76,187.49x = 113,817.91 × 49,314.55
  4. Step 4: Simplify right side
    76,187.49x = 5,612,878,767.02
  5. Step 5: Solve for x
    x = 5,612,878,767.02/76,187.49
  6. Step 6: Final answer
    x = 73,671.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.